NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2.

- Introduction to Trigonometry Class 10 Ex 8.1
- Introduction to Trigonometry Class 10 Ex 8.2
- Introduction to Trigonometry Class 10 Ex 8.3
- Introduction to Trigonometry Class 10 Ex 8.4

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 10 |

Subject |
Maths |

Chapter |
Chapter 8 |

Chapter Name |
Introduction to Trigonometry |

Exercise |
Ex 8.2 |

Number of Questions Solved |
4 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2

**Ex 8.2 Class 10 Maths Question 1.**

**Evaluate the following:**

**Solution:**

**Ex 8.2 Class 10 Maths Question 2.**

**Choose the correct option and justify your choice:**

**Solution:**

**Ex 8.2 Class 10 Maths Question 3.**

**If tan (A + B) = √3 and tan (A – B) = \(\frac { 1 }{ \surd 3 }\); 0° < A + B ≤ 90°; A > B, find A and B.**

**Solution:**

tan (A + B) = √3 = tan 60°

⇒ A + B = 60° …(i)

tan (A – B) = \(\frac { 1 }{ \surd 3 }\) = tan 30°

⇒ A – B = 30° …(ii)

On Adding equation (i) and (ii), we get

2A = 90° ⇒ A = 45°

From (i), we get:

45° + B = 60° ⇒ B = 15°

Thus, A = 45°, B = 15°

**Ex 8.2 Class 10 Maths Question 4.**

**State whether the following statements are true or false. Justify your answer.**

**(i)** sin (A + B) = sin A + sin B.

**(ii)** The value of sin θ increases as θ increases.

**(iii)** The value of cos θ increases as θ increases.

**(iv)** sin θ = cos θ for all values of θ.

**(v)** cot A is not defined for A = 0°.

**Solution:**

**(i) False**

**(ii) True**

**(iii) False**

**(iv) False**

**(v) True**

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